Step-by-step explanation:
arithmetic sequence.
an = an-1 + c = a1 + (n-1)c
c is in our case 2 (every new shape has 2 more vertices).
we have a a1 = 3.
an = 3 + 2(n-1)
so,
a21 = 3 + 2(20) = 3 + 40 = 43
the 21st shadow will have 43 vertices.
First of all, 2^n and 3^n are exponentials with different bases, and thus their sum cannot be simplified beyond 2^n + 3^n. In other words, these two functions cannot be combined ino one function (such as 4^n).
You may gain much more insight by graphing 2^n, 3^n and 4^n to determine whether there is truth in the given statement or not.
<span>−5</span>=<span>−<span>2/3x+3
-5=9x-2/3x
-15x=9x-2
</span></span><span><span><span>−<span>15x</span></span>−<span>9x</span></span>=<span><span><span>9x</span>−2</span>−<span>9x</span></span></span>(Subtract 9x from both sides)<span><span>−<span>24x</span></span>=<span>−<span>2
-24x/-24=-2/-24
x=1/12
:)</span></span></span>
The answer is mostly likely B
